Exponential separation in 4-manifolds

Details Exponential separation in 4-manifolds Exponential separation in 4-manifolds

2000-08-29

arxiv.org/abs/math/0008212v2

Geom. Topol. 4(2000) 397-405

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper13.abs.html

Scientific paper

We use a new geometric construction, grope splitting, to give a sharp bound
for separation of surfaces in 4-manifolds. We also describe applications of
this technique in link-homotopy theory, and to the problem of locating
pi_1-null surfaces in 4-manifolds. In our applications to link-homotopy, grope
splitting serves as a geometric substitute for the Milnor group.

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